what height cake pans to buy?

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what height cake pans to buy?

I am considering buying a set of 8" cake pans, because I like to bake but don't have a lot of people around to eat the cakes I make. I have all sorts of pans, including a set of 9"x 2" pans which is the height I have always used. Looking on Amazon, I am seeing 8 x 3 pans available and wondering if I should pay a bit more and get those instead of 2 " high. I don't necessarily want to make taller cakes, meaning that I wouldn't make thicker than usual layers , so would having not as full pans be any different than if they were half full ?